10252424000 has 224 divisors, whose sum is σ = 31251607296. Its totient is φ = 3244492800.

The previous prime is 10252423967. The next prime is 10252424003. The reversal of 10252424000 is 42425201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10252424000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252424003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720959 + ... + 735041.

It is an arithmetic number, because the mean of its divisors is an integer number (139516104).

Almost surely, 2^10252424000 is an apocalyptic number.

10252424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10252424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625803648).

10252424000 is an abundant number, since it is smaller than the sum of its proper divisors (20999183296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10252424000 is a wasteful number, since it uses less digits than its factorization.

10252424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14130 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 10252424000 its reverse (42425201), we get a palindrome (10294849201).

The spelling of 10252424000 in words is "ten billion, two hundred fifty-two million, four hundred twenty-four thousand".